Exact-dimensional property of density of states measure of Sturm Hamiltonian

Yanhui Qu

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arXiv · 1609.02347

Exact-dimensional property of density of states measure of Sturm Hamiltonian

Yanhui Qu

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Abstract

For frequency $\alpha$ of bounded type and coupling $\lambda>20$, we show that the density of states measure $\NN_{\alpha,\lambda}$ of the related Sturm Hamiltonian is exact upper and lower dimensional, however, in general it is not exact-dimensional.

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Yanhui Qu. 2016-09-08. Exact-dimensional property of density of states measure of Sturm Hamiltonian. https://arxiv.org/abs/1609.02347

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